Abstract / Description of output
We study a nonlinear Dirac system in one space dimension with a quadratic nonlinearity which exhibits null structure in the sense of Klainerman. Using an L-p variant of the L-2 restriction method of Bourgain and Klainerman-Machedon, we prove local well-posedness for initial data in a Sobolev-like space (H-s,H-p) over cap (R) whose scaling dimension is arbitrarily close to the critical scaling dimension.
| Original language | English |
|---|---|
| Pages (from-to) | 605-616 |
| Number of pages | 12 |
| Journal | Discrete and Continuous Dynamical Systems - Series A |
| Volume | 20 |
| Issue number | 3 |
| Publication status | Published - Mar 2008 |